Directions: Each question has a main statement followed by four statements labelled A, B, C and D. Choose the ordered pair of statements where the first statement implies the second, and the two statements are logically consistent with the main statement.
If I talk to my professors, then I do not need to take a pill for headache. A. I talked to my professors. B. I did not need to take a pill for headache. C. I needed to take a pill for headache. D. I did not talk to my professors.
Explanation:
P = I talk to my professors Q = I do not need to take a pill for headache. Therefore, both AB(P ⇒ Q) and CD(neg Q ⇒ neg P) are logically consistent, not BA and DC. (d) ‘AB and CD’ is the correct answer choice.
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